Pith Number

pith:S2J5N32S

pith:2023:S2J5N32SSN5ZYZQPAVQQPZ6WR2

not attested not anchored not stored refs pending

Non-commutative $L^{p}$ spaces and Grassmann stochastic analysis

Francesco C. De Vecchi, Luca Fresta, Maria Gordina, Massimiliano Gubinelli

arxiv:2305.08497 v1 · 2023-05-15 · math.PR · math-ph · math.MP · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S2J5N32SSN5ZYZQPAVQQPZ6WR2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Noncommutative Regularity Structures

Receipt and verification

First computed	2026-07-05T06:10:02.436882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9693d6ef52937b9c660f056107e7d68ea881b80b26d4ed02e2e42490cbc3d9c6

Aliases

arxiv: 2305.08497 · arxiv_version: 2305.08497v1 · doi: 10.48550/arxiv.2305.08497 · pith_short_12: S2J5N32SSN5Z · pith_short_16: S2J5N32SSN5ZYZQP · pith_short_8: S2J5N32S

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/S2J5N32SSN5ZYZQPAVQQPZ6WR2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9693d6ef52937b9c660f056107e7d68ea881b80b26d4ed02e2e42490cbc3d9c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a00f615e7efc57c2eeb9059413ff5693e303560ab6051cab76741dde1c6f84da",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-05-15T09:54:34Z",
    "title_canon_sha256": "a8735704b8fcffaf68daa857495f98e213b64fa9346442b9c0040090907aa7cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.08497",
    "kind": "arxiv",
    "version": 1
  }
}